Properties

Label 5.32-5.0.2-8-8
Genus \(5\)
Quotient genus \(0\)
Group \(C_2^2:C_8\)
Signature \([ 0; 2, 8, 8 ]\)

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Family Information

Genus: $5$
Dimension of the family: $0$

Cover

Quotient genus: $0$
Number of branch points: $3$
Signature: $[ 0; 2, 8, 8 ]$

Group

Name: $C_2^2:C_8$
Identifier:$[32,5]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
5.32-5.0.2-8-8.1 5, 13, 20
5.32-5.0.2-8-8.2 5, 14, 19
5.32-5.0.2-8-8.3 5, 15, 18
5.32-5.0.2-8-8.4 5, 16, 17
5.32-5.0.2-8-8.5 6, 13, 18
5.32-5.0.2-8-8.6 6, 14, 17
5.32-5.0.2-8-8.7 6, 15, 20
5.32-5.0.2-8-8.8 6, 16, 19

Displaying the representative for the unique action up to topological equivalence.

5.32-5.0.2-8-8.1.1
  (1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32)
  (1,17,3,19,2,18,4,20) (5,21,7,23,6,22,8,24) (9,29,11,31,10,30,12,32) (13,25,15,27,14,26,16,28)
  (1,28,8,30,2,27,7,29) (3,25,5,32,4,26,6,31) (9,24,16,18,10,23,15,17) (11,21,13,20,12,22,14,19)